We present an efficient method to design long discrete-phase periodic sequence sets with good auto- and cross-ambiguity function properties in the presence of Doppler shifts. Our goal is to minimize the integrated sidelobe level within a desired time-delay and Doppler-shift region of the ambiguity function related metric. A coordinate descent (CD) framework, with efficient updating procedures within the CD iterations, is introduced to achieve low computational complexities. We use numerical examples to demonstrate that we can design long sequence sets with good ambiguity function properties.

Automotive radar; Coordinate Decent; MIMO radar; Sequence design